Normal algebraic surfaces with trivial two or four times of the canonical divisor

被引:1
作者
Zhang, DQ [1 ]
机构
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
关键词
automorphisms of K3 surfaces; quotients of K3 surfaces; rational surfaces with quotient singularities;
D O I
10.1142/S0129167X98000166
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that upto isomorphisms there are exactly, three rational log Enriques surfaces of index four and Type A(17), and three rational log Enriques surfaces of index two and actual Type A(17) + A(1).
引用
收藏
页码:377 / 406
页数:30
相关论文
共 31 条
  • [1] INDEX OF ELLIPTIC OPERATORS .2.
    ATIYAH, MF
    SEGAL, GB
    [J]. ANNALS OF MATHEMATICS, 1968, 87 (03) : 531 - &
  • [2] ATIYAH MF, 1968, ANN MATH, V87, P546, DOI 10.2307/1970717
  • [3] Blache R., 1995, J. Algebraic Geom, V4, P137
  • [4] Brieskorn E., 1967, INVENT MATH, V4, P336, DOI 10.1007/BF01425318
  • [5] On the fundamental groups of some open rational surfaces
    Gurjar, RV
    Zhang, DQ
    [J]. MATHEMATISCHE ANNALEN, 1996, 306 (01) : 15 - 30
  • [6] Normal algebraic surfaces with trivial bicanonical divisor
    Gurjar, RV
    Zhang, DQ
    [J]. JOURNAL OF ALGEBRA, 1996, 186 (03) : 970 - 989
  • [7] Hartshorne R., 1977, ALGEBRAIC GEOM
  • [8] DEFORMATIONS OF QUINTIC SURFACES
    HORIKAWA, E
    [J]. INVENTIONES MATHEMATICAE, 1975, 31 (01) : 43 - 85
  • [9] Kawamata Y., 1987, ADV STUDIES PURE MAT, V10, P283
  • [10] KOLLAR J., 1992, ASTERISQUE, V211